scholarly journals A Reverse Non-Stationary Generalized B-Splines Subdivision Scheme

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2628
Author(s):  
Abdellah Lamnii ◽  
Mohamed Yassir Nour ◽  
Ahmed Zidna
Keyword(s):  
Optimization Problem ◽  
Linear Optimization ◽  
Subdivision Scheme ◽  
Third Order ◽  
Linear Optimization Problem ◽  
Numerical Examples ◽  
B Splines ◽  
Initial Control ◽  
Order Scheme ◽  
Different Shapes

In this paper, two new families of non-stationary subdivision schemes are introduced. The schemes are constructed from uniform generalized B-splines with multiple knots of orders 3 and 4, respectively. Then, we construct a third-order reverse subdivision framework. For that, we derive a generalized multi-resolution mask based on their third-order subdivision filters. For the reverse of the fourth-order scheme, two methods are used; the first one is based on least-squares formulation and the second one is based on solving a linear optimization problem. Numerical examples are given to show the performance of the new schemes in reproducing different shapes of initial control polygons.

scholarly journals B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations

2004 ◽  
Vol 1 (2) ◽  
pp. 340-346
Author(s):  
Baghdad Science Journal
Keyword(s):  
Differential Equations ◽  
Spline Function ◽  
Cubic Spline ◽  
Second Order ◽  
Third Order ◽  
B Spline ◽  
Numerical Examples ◽  
B Splines ◽  
The Third ◽  
New Procedures

Algorithms using the second order of B -splines [B (x)] and the third order of B -splines [B,3(x)] are derived to solve 1' , 2nd and 3rd linear Fredholm integro-differential equations (F1DEs). These new procedures have all the useful properties of B -spline function and can be used comparatively greater computational ease and efficiency.The results of these algorithms are compared with the cubic spline function.Two numerical examples are given for conciliated the results of this method.

scholarly journals Solving Fuzzy Bi-matrix Games Through a Interval Value Function Approach

2018 ◽  
Author(s):  
Kaisheng Liu ◽  
Yumei Xing
Keyword(s):  
Equilibrium Solution ◽  
Optimization Problem ◽  
Value Function ◽  
Linear Optimization ◽  
Function Approach ◽  
Game Model ◽  
Optimal Solutions ◽  
Matrix Games ◽  
Linear Optimization Problem ◽  
Interval Value

This article puts forward the bi-matrix games with crisp parametric payoffs based on interval value function approach. We conclude that the equilibrium solution of the game model can converted into optimal solutions of the pair of the non-linear optimization problem. Finally, experiment results show the efficiency of the model.

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